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Finding the Fourth Proportional to 2,459.84, 3,394.31 and 1,464.93

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Solution

The fourth proportional to 2,459.84, 3,394.31 and 1,464.93 is: 2,021.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.84 : 3,394.31 = 1,464.93 : x
  2. Step 2: Convert to fraction form
    2,459.84/3,394.31 = 1,464.93/x
  3. Step 3: Cross multiply
    2,459.84x = 3,394.31 × 1,464.93
  4. Step 4: Simplify right side
    2,459.84x = 4,972,419.22
  5. Step 5: Solve for x
    x = 4,972,419.22/2,459.84
  6. Step 6: Final answer
    x = 2,021.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.